λ
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4,500,750

2 × 3 × 53 × 17 × 353
Abundant Even Composite

4,500,750 factors as 2 × 3 × 5^3 × 17 × 353. Its 64 positive divisors give a proper-divisor sum of 7,427,634, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^3 × 17 × 353
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 11,928,384
Proper Divisor Sum 7,427,634
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4500737 ← → #4500751

Radix Representation

Decimal 4500750
Binary 10001001010110100001110 (23 bits)
Octal 0o21126416
Hexadecimal 0x44AD0E

Divisor Catalog (60 of 64)

1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 125 150 170 250 255 353 375 425 510 706 750 850 1,059 1,275 1,765 2,118 2,125 2,550 3,530 4,250 5,295 6,001 6,375 8,825 10,590 12,002 12,750 17,650 18,003 26,475 30,005 36,006 44,125 52,950 60,010 88,250 90,015 132,375 150,025 180,030 264,750 300,050 450,075 750,125

Collatz Trajectory (118 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

4,500,750 2,250,375 6,751,126 3,375,563 10,126,690 5,063,345 15,190,036 7,595,018 3,797,509 11,392,528 5,696,264 2,848,132 1,424,066 712,033 2,136,100 1,068,050 534,025 1,602,076 801,038 400,519 1,201,558 600,779 1,802,338 901,169 2,703,508 1,351,754 675,877 2,027,632 1,013,816 506,908 253,454 126,727 380,182 190,091 570,274 285,137 855,412 427,706 213,853 641,560 320,780 160,390 80,195 240,586 120,293 360,880 180,440 90,220 45,110 22,555 67,666 33,833 101,500 50,750 25,375 76,126 38,063 114,190 57,095 171,286

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